38edo: Difference between revisions
m +categories |
Contribution (talk | contribs) |
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| Line 12: | Line 12: | ||
! Step | ! Step | ||
! Cents | ! Cents | ||
!21-limit ratios, | |||
treated as 38df | |||
!21-limit ratios, | |||
by direct mapping | |||
! colspan="3" | [[Ups and Downs Notation]]* | ! colspan="3" | [[Ups and Downs Notation]]* | ||
|- | |- | ||
| 0 | | 0 | ||
| 0.0000 | | 0.0000 | ||
| | |||
| | |||
| Perfect 1sn | | Perfect 1sn | ||
| P1 | | P1 | ||
| Line 22: | Line 28: | ||
| 1 | | 1 | ||
| 31.5789 | | 31.5789 | ||
| | |||
| | |||
| Up 1sn | | Up 1sn | ||
| ^1 | | ^1 | ||
| Line 28: | Line 36: | ||
| 2 | | 2 | ||
| 63.1579 | | 63.1579 | ||
| | |||
| | |||
| Aug 1sn, dim 2nd | | Aug 1sn, dim 2nd | ||
| A1, d2 | | A1, d2 | ||
| Line 34: | Line 44: | ||
| 3 | | 3 | ||
| 94.7368 | | 94.7368 | ||
| | |||
| | |||
| Upaug 1sn, downminor 2nd | | Upaug 1sn, downminor 2nd | ||
| ^A1, vm2 | | ^A1, vm2 | ||
| Line 40: | Line 52: | ||
| 4 | | 4 | ||
| 126.3157 | | 126.3157 | ||
| | |||
| | |||
| Minor 2nd | | Minor 2nd | ||
| m2 | | m2 | ||
| Line 46: | Line 60: | ||
| 5 | | 5 | ||
| 157.8947 | | 157.8947 | ||
| | |||
| | |||
| Mid 2nd | | Mid 2nd | ||
| ~2 | | ~2 | ||
| Line 52: | Line 68: | ||
| 6 | | 6 | ||
| 189.4737 | | 189.4737 | ||
| | |||
| | |||
| Major 2nd | | Major 2nd | ||
| M2 | | M2 | ||
| Line 58: | Line 76: | ||
| 7 | | 7 | ||
| 221.0526 | | 221.0526 | ||
| | |||
| | |||
| Upmajor 2nd | | Upmajor 2nd | ||
| ^M2 | | ^M2 | ||
| Line 64: | Line 84: | ||
| 8 | | 8 | ||
| 252.6316 | | 252.6316 | ||
| | |||
| | |||
| Aug 2nd, Dim 3rd | | Aug 2nd, Dim 3rd | ||
| A2, d3 | | A2, d3 | ||
| Line 70: | Line 92: | ||
| 9 | | 9 | ||
| 284.2105 | | 284.2105 | ||
| | |||
| | |||
| Downminor 3rd | | Downminor 3rd | ||
| vm3 | | vm3 | ||
| Line 76: | Line 100: | ||
| 10 | | 10 | ||
| 315.7895 | | 315.7895 | ||
| | |||
| | |||
| Minor 3rd | | Minor 3rd | ||
| m3 | | m3 | ||
| Line 82: | Line 108: | ||
| 11 | | 11 | ||
| 347.3684 | | 347.3684 | ||
| | |||
| | |||
| Mid 3rd | | Mid 3rd | ||
| ~3 | | ~3 | ||
| Line 88: | Line 116: | ||
| 12 | | 12 | ||
| 378.9474 | | 378.9474 | ||
| | |||
| | |||
| Major 3rd | | Major 3rd | ||
| M3 | | M3 | ||
| Line 94: | Line 124: | ||
| 13 | | 13 | ||
| 410.5263 | | 410.5263 | ||
| | |||
| | |||
| Upmajor 3rd, Downdim 4th | | Upmajor 3rd, Downdim 4th | ||
| ^M3, vd4 | | ^M3, vd4 | ||
| Line 100: | Line 132: | ||
| 14 | | 14 | ||
| 442.1053 | | 442.1053 | ||
| | |||
| | |||
| Aug 3rd, dim 4th | | Aug 3rd, dim 4th | ||
| A3, d4 | | A3, d4 | ||
| Line 106: | Line 140: | ||
| 15 | | 15 | ||
| 473.6843 | | 473.6843 | ||
| | |||
| | |||
| Down 4th | | Down 4th | ||
| v4 | | v4 | ||
| Line 112: | Line 148: | ||
| 16 | | 16 | ||
| 505.2632 | | 505.2632 | ||
| | |||
| | |||
| Perfect 4th | | Perfect 4th | ||
| P4 | | P4 | ||
| Line 118: | Line 156: | ||
| 17 | | 17 | ||
| 536.8421 | | 536.8421 | ||
| | |||
| | |||
| Up 4th | | Up 4th | ||
| ^4 | | ^4 | ||
| Line 124: | Line 164: | ||
| 18 | | 18 | ||
| 568.4211 | | 568.4211 | ||
| | |||
| | |||
| Aug 4th | | Aug 4th | ||
| A4 | | A4 | ||
| Line 130: | Line 172: | ||
| 19 | | 19 | ||
| 600.0000 | | 600.0000 | ||
| | |||
| | |||
| Upaug 4th, downdim 5th | | Upaug 4th, downdim 5th | ||
| ^A4, vd5 | | ^A4, vd5 | ||
| Line 136: | Line 180: | ||
| 20 | | 20 | ||
| 631.5789 | | 631.5789 | ||
| | |||
| | |||
| Dim 5th | | Dim 5th | ||
| d5 | | d5 | ||
| Line 142: | Line 188: | ||
| 21 | | 21 | ||
| 663.1579 | | 663.1579 | ||
| | |||
| | |||
| Down 5th | | Down 5th | ||
| v5 | | v5 | ||
| Line 148: | Line 196: | ||
| 22 | | 22 | ||
| 694.7368 | | 694.7368 | ||
| | |||
| | |||
| Perfect 5th | | Perfect 5th | ||
| P5 | | P5 | ||
| Line 154: | Line 204: | ||
| 23 | | 23 | ||
| 726.3157 | | 726.3157 | ||
| | |||
| | |||
| Up 5th | | Up 5th | ||
| ^5 | | ^5 | ||
| Line 160: | Line 212: | ||
| 24 | | 24 | ||
| 757.8947 | | 757.8947 | ||
| | |||
| | |||
| Aug 5th, dim 6th | | Aug 5th, dim 6th | ||
| A5, d6 | | A5, d6 | ||
| Line 166: | Line 220: | ||
| 25 | | 25 | ||
| 789.4737 | | 789.4737 | ||
| | |||
| | |||
| Upaug 5th, downminor 6th | | Upaug 5th, downminor 6th | ||
| ^A5, vm6 | | ^A5, vm6 | ||
| Line 172: | Line 228: | ||
| 26 | | 26 | ||
| 821.0526 | | 821.0526 | ||
| | |||
| | |||
| Minor 6th | | Minor 6th | ||
| m6 | | m6 | ||
| Line 178: | Line 236: | ||
| 27 | | 27 | ||
| 852.6316 | | 852.6316 | ||
| | |||
| | |||
| Mid 6th | | Mid 6th | ||
| ~6 | | ~6 | ||
| Line 184: | Line 244: | ||
| 28 | | 28 | ||
| 884.2105 | | 884.2105 | ||
| | |||
| | |||
| Major 6th | | Major 6th | ||
| M6 | | M6 | ||
| Line 190: | Line 252: | ||
| 29 | | 29 | ||
| 915.7895 | | 915.7895 | ||
| | |||
| | |||
| Upmajor 6th | | Upmajor 6th | ||
| ^M6 | | ^M6 | ||
| Line 196: | Line 260: | ||
| 30 | | 30 | ||
| 947.3684 | | 947.3684 | ||
| | |||
| | |||
| Aug 6th, dim 7th | | Aug 6th, dim 7th | ||
| A6, d7 | | A6, d7 | ||
| Line 202: | Line 268: | ||
| 31 | | 31 | ||
| 978.9474 | | 978.9474 | ||
| | |||
| | |||
| Downminor 7th | | Downminor 7th | ||
| vm7 | | vm7 | ||
| Line 208: | Line 276: | ||
| 32 | | 32 | ||
| 1010.5263 | | 1010.5263 | ||
| | |||
| | |||
| Minor 7th | | Minor 7th | ||
| m7 | | m7 | ||
| Line 214: | Line 284: | ||
| 33 | | 33 | ||
| 1042.1053 | | 1042.1053 | ||
| | |||
| | |||
| Mid 7th | | Mid 7th | ||
| ~7 | | ~7 | ||
| Line 220: | Line 292: | ||
| 34 | | 34 | ||
| 1073.6843 | | 1073.6843 | ||
| | |||
| | |||
| Major 7th | | Major 7th | ||
| M7 | | M7 | ||
| Line 226: | Line 300: | ||
| 35 | | 35 | ||
| 1105.2632 | | 1105.2632 | ||
| | |||
| | |||
| Upmajor 7th, Downdim 8ve | | Upmajor 7th, Downdim 8ve | ||
| ^M7, vd8 | | ^M7, vd8 | ||
| Line 232: | Line 308: | ||
| 36 | | 36 | ||
| 1136.8421 | | 1136.8421 | ||
| | |||
| | |||
| Aug 7th, dim 8ve | | Aug 7th, dim 8ve | ||
| A7, d8 | | A7, d8 | ||
| Line 238: | Line 316: | ||
| 37 | | 37 | ||
| 1168.4211 | | 1168.4211 | ||
| | |||
| | |||
| Down 8ve | | Down 8ve | ||
| v8 | | v8 | ||
| Line 244: | Line 324: | ||
| 38 | | 38 | ||
| 1200.0000 | | 1200.0000 | ||
| | |||
| | |||
| Perfect 8ve | | Perfect 8ve | ||
| P8 | | P8 | ||